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3 years ago

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After a day of shopping , Karen has 4 receipts: $68.89 ,$42.50 $40.75, and $38.50. Estimate the total amount of money the total

amount of money Karen spent. A.$160 B.$190 C$225 D$275 please help me

2 answers:

Fittoniya [83]3 years ago

6 0

So 68.89 and 42.50 added together is about 111 dollars, then you add 40.75 and 38.50 is about 70 dollars so the total will be B. 190 Dollars

riadik2000 [5.3K]3 years ago

4 0

B. 190
Adding them all up, you get around 190 and thats the closest answer!!!

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Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

$x - 5 = ln(t)$

$t = {e}^{x - 5}$

We put it into the second equation.

$y = { ({e}^{x - 5}) }^{2} + 5$

$y = { ({e}^{2(x - 5)}) } + 5$

We differentiate to get;

$\frac{dy}{dx} = 2 {e}^{2(x - 5)}$

At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5)$

$y = 2x - 10 + 6$

$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

$y = 2x -4$

5 0

3 years ago

the length of a rectangle is 7 yd less than three times the width, and the area of the rectangle is 66 yd(squared). find the dim

Alex_Xolod [135]

So legnt=l
width=w
l=-7+3w
l=3w-7

area=66
area=legnth times width or
area=lw

subisutte
area=lw
l=3w-7
66=(3w-7)(w)
66=3w^2-7w
subtrac 66 from both sides
0=3w^2-7w-66
factor
HOW TO
multiply 3 and -66=-198
find what 2 numbers add up to -7 and multiply to get -198
the numbers area 11 and -18
so
3w^2-18w+11w-66=0
factor
(3w^2-18w)+(11w-66)=0
(3w)(w-6)+(11)(w-6)=0
factor using distributive (ab+ac=a(b+c))

(3w+11)(w-6)=0
set them to zero
3w+11=0
subtract 11
3w=-11
legnths cannot be negative so we discard this

w-6=0
add 6
w=6

width=6
legnth=3w-7
length=3(6)-7
legnt=18-7
legnth=11

width=6
legnth=11

7 0

3 years ago

Salve this a equation: 2.2x+19.246=2-2.36x ?

Elodia [21]

Answer:

4.56x=-17.246

x=-17.246/4.56

x-3.78

I would appreciate if my answer is chosen as a brainliest answer

4 0

3 years ago

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PLSASE HELP DUE TODAY WILL MARK YOU!!!

Xelga [282]

Answer:

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Step-by-step explanation:

ghjjgjesw54t32r3yggtfucgkyoughrhhfgh

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2 years ago

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the se

Gre4nikov [31]

Given:

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.

To find:

The graph that represents the set of heights that satisfy this requirement.

Solution:

Let x be the height required for the ride.

Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.

$x\geq 54$

So, 54 and all values above 54 are in the solution set.

Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.

Therefore, the correct option is C.

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3 years ago

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